#### Solution for 345 is what percent of 40:

345:40*100 =

(345*100):40 =

34500:40 = 862.5

Now we have: 345 is what percent of 40 = 862.5

Question: 345 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={40}.

Step 4: In the same vein, {x\%}={345}.

Step 5: This gives us a pair of simple equations:

{100\%}={40}(1).

{x\%}={345}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{40}{345}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{345}{40}

\Rightarrow{x} = {862.5\%}

Therefore, {345} is {862.5\%} of {40}.

#### Solution for 40 is what percent of 345:

40:345*100 =

(40*100):345 =

4000:345 = 11.59

Now we have: 40 is what percent of 345 = 11.59

Question: 40 is what percent of 345?

Percentage solution with steps:

Step 1: We make the assumption that 345 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={345}.

Step 4: In the same vein, {x\%}={40}.

Step 5: This gives us a pair of simple equations:

{100\%}={345}(1).

{x\%}={40}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{345}{40}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{40}{345}

\Rightarrow{x} = {11.59\%}

Therefore, {40} is {11.59\%} of {345}.

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